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Simplifying 3(7x3 + 2x2 + -5x + 2) = 2(8x3 + 3x2 + -6x + 3) + 2w Reorder the terms: 3(2 + -5x + 2x2 + 7x3) = 2(8x3 + 3x2 + -6x + 3) + 2w (2 * 3 + -5x * 3 + 2x2 * 3 + 7x3 * 3) = 2(8x3 + 3x2 + -6x + 3) + 2w (6 + -15x + 6x2 + 21x3) = 2(8x3 + 3x2 + -6x + 3) + 2w Reorder the terms: 6 + -15x + 6x2 + 21x3 = 2(3 + -6x + 3x2 + 8x3) + 2w 6 + -15x + 6x2 + 21x3 = (3 * 2 + -6x * 2 + 3x2 * 2 + 8x3 * 2) + 2w 6 + -15x + 6x2 + 21x3 = (6 + -12x + 6x2 + 16x3) + 2w Reorder the terms: 6 + -15x + 6x2 + 21x3 = 6 + 2w + -12x + 6x2 + 16x3 Add '-6' to each side of the equation. 6 + -15x + 6x2 + -6 + 21x3 = 6 + 2w + -12x + 6x2 + -6 + 16x3 Reorder the terms: 6 + -6 + -15x + 6x2 + 21x3 = 6 + 2w + -12x + 6x2 + -6 + 16x3 Combine like terms: 6 + -6 = 0 0 + -15x + 6x2 + 21x3 = 6 + 2w + -12x + 6x2 + -6 + 16x3 -15x + 6x2 + 21x3 = 6 + 2w + -12x + 6x2 + -6 + 16x3 Reorder the terms: -15x + 6x2 + 21x3 = 6 + -6 + 2w + -12x + 6x2 + 16x3 Combine like terms: 6 + -6 = 0 -15x + 6x2 + 21x3 = 0 + 2w + -12x + 6x2 + 16x3 -15x + 6x2 + 21x3 = 2w + -12x + 6x2 + 16x3 Add '-6x2' to each side of the equation. -15x + 6x2 + -6x2 + 21x3 = 2w + -12x + 6x2 + -6x2 + 16x3 Combine like terms: 6x2 + -6x2 = 0 -15x + 0 + 21x3 = 2w + -12x + 6x2 + -6x2 + 16x3 -15x + 21x3 = 2w + -12x + 6x2 + -6x2 + 16x3 Combine like terms: 6x2 + -6x2 = 0 -15x + 21x3 = 2w + -12x + 0 + 16x3 -15x + 21x3 = 2w + -12x + 16x3 Solving -15x + 21x3 = 2w + -12x + 16x3 Solving for variable 'x'. Reorder the terms: -2w + -15x + 12x + 21x3 + -16x3 = 2w + -12x + 16x3 + -2w + 12x + -16x3 Combine like terms: -15x + 12x = -3x -2w + -3x + 21x3 + -16x3 = 2w + -12x + 16x3 + -2w + 12x + -16x3 Combine like terms: 21x3 + -16x3 = 5x3 -2w + -3x + 5x3 = 2w + -12x + 16x3 + -2w + 12x + -16x3 Reorder the terms: -2w + -3x + 5x3 = 2w + -2w + -12x + 12x + 16x3 + -16x3 Combine like terms: 2w + -2w = 0 -2w + -3x + 5x3 = 0 + -12x + 12x + 16x3 + -16x3 -2w + -3x + 5x3 = -12x + 12x + 16x3 + -16x3 Combine like terms: -12x + 12x = 0 -2w + -3x + 5x3 = 0 + 16x3 + -16x3 -2w + -3x + 5x3 = 16x3 + -16x3 Combine like terms: 16x3 + -16x3 = 0 -2w + -3x + 5x3 = 0 The solution to this equation could not be determined.
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